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A new derivation of second-order conditions for equality control constraints

✍ Scribed by Javier F. Rosenblueth

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
201 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work we provide a new approach to the theory of second-order necessary conditions in optimal control, considering a problem posed over piecewise continuous controls and involving equality constrains in the controls. The proof that the second-order conditions obtained are necessary for optimality is simpler than others available in the literature and conveys a clear understanding of how to define a set of differentially admissible variations where a certain quadratic form is nonnegative.

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